x(8x+4)=3x^2-2x

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Solution for x(8x+4)=3x^2-2x equation: 


Simplifying
x(8x + 4) = 3x2 + -2x

Reorder the terms:
x(4 + 8x) = 3x2 + -2x
(4 * x + 8x * x) = 3x2 + -2x
(4x + 8x2) = 3x2 + -2x

Reorder the terms:
4x + 8x2 = -2x + 3x2

Solving
4x + 8x2 = -2x + 3x2

Solving for variable 'x'.

Reorder the terms:
4x + 2x + 8x2 + -3x2 = -2x + 3x2 + 2x + -3x2

Combine like terms: 4x + 2x = 6x
6x + 8x2 + -3x2 = -2x + 3x2 + 2x + -3x2

Combine like terms: 8x2 + -3x2 = 5x2
6x + 5x2 = -2x + 3x2 + 2x + -3x2

Reorder the terms:
6x + 5x2 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
6x + 5x2 = 0 + 3x2 + -3x2
6x + 5x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {0, -1.2}

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